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An analytical expression and an algorithm for the volume of a convex polyhedron inR ⁿ

Authors

Jean B Lasserre

Publication date

1983/3

Journal

Journal of optimization theory and applications

Volume

Pages

363-377

Publisher

Kluwer Academic Publishers-Plenum Publishers

Description

An analytical expression for the volume of the convex polyhedron {x¦Ax⩽b} is given. Based on a simple recursive identity, it yields an efficient algorithm. Redundant constraints can be detected.

Total citations

Cited by 188

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An analytical expression and an algorithm for the volume of a convex polyhedron in R n

JB Lasserre - Journal of optimization theory and applications, 1983